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Grade Upto college level Engineering Entrance Exams

A cyclist turns around a curve at 15 miles per hour. If he turns at double the speed, the tendency of overturn is (a) doubled (b) quadrupled (c) halved (d) unchanged

Profile image of sumit kumar
12 Years agoGrade Upto college level
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2 Answers

Profile image of Radhey joshi
7 Years ago
Speed=15miles/hr       . Eqs-1.... ..Initially
   In vertical circular motion 
Tendency to overturn depends on centipital force
         Mv^2/r.      eqs-2
Here velocity is doubled means now is 30miles/hr
We get the value four times
Correct ans-(b)
Dividing  eqs 2 and 1
 
Profile image of Radhey joshi
7 Years ago
F directly proportional to v^2
From F=MV^2/r
And F is tendency to overturn in a circular motion
Therefore on doubling velocity
Tendency to overturn becomes quadrupled
And(b)

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